I'm posting one puzzle, riddle, math, or statistical problem a day. Try to answer each one and post your answers in the comments section. I'll post the answer the next day. Even if you have the same answer as someone else, feel free to put up your answer, too!
Monday, April 10, 2006
You have two cups, one containing orange juice and one containing and equal amount of lemonade. One teaspoon of the orange juice is taken and mixed with the lemonade. Then a teaspoon of this mixture is mixed back into the orange juice. Is there more lemonade in the orange juice or more orange juice in the lemonade?
Subscribe to: Post Comments (Atom)
I think there is more lemonade in the orange juice since it went in as a pure teaspoonReplyDelete
I would agree, the teraspoon of lemonade going into the OJ isn't a pure mixture.ReplyDelete
There's the same amount of lemonade in the orange juice as orange juice in the lemonade. Each cup ends with the same volume of liquid that it started with, and there's still an equal amount of each juice between the two cups.ReplyDelete
But I could be wrong! ;-)
I made each one 10 teaspoons for example:ReplyDelete
When I move a Teaspoon of OJ to LA:
LA= 1x + 10y =11 tspn total volume
When I take one back over to the lemonade I am taking 1/11th of each over after mixing them VERY thorougly
Thus I have:
OJ= 9 1/11x + 10/11y
LA= 9 1/11y + 10/11x
So yeah, after doing it i figured it out. I musta missed few 11ths somewhere
Karnov... can you explain the 1/11 th aspect to me??ReplyDelete
I have a similar problem to figure out but start off with 8 ounces of juice?ReplyDelete
Not understanding the 1/11 th fractional part.